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<h3 class="heading"><span class="type">Paragraph</span></h3>
<p>Consider</p>
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\begin{equation*}
a_0 y^{(n)}+a_1 y^{(n-1)}+\cdots+a_{n} y=g(x).
\end{equation*}
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<p class="continuation">The corresponding homogeneous equation is</p>
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\begin{equation*}
a_0 y^{(n)}+a_1 y^{(n-1)}+\cdots+a_{n} y=0.
\end{equation*}
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<p class="continuation">The characteristic equation is then</p>
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\begin{equation*}
a_0 r^n+a_1 r^{n-1}+\cdots+a_n=0.
\end{equation*}
</div>
<p class="continuation">We discuss the particular solution under three cases.</p>
<span class="incontext"><a href="sec4_3.html#p-164" class="internal">in-context</a></span>
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